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Finding the Fourth Proportional to 7,843.96, 10,824.80 and 4,307.32

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Solution

The fourth proportional to 7,843.96, 10,824.80 and 4,307.32 is: 5,944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.96 : 10,824.80 = 4,307.32 : x
  2. Step 2: Convert to fraction form
    7,843.96/10,824.80 = 4,307.32/x
  3. Step 3: Cross multiply
    7,843.96x = 10,824.80 × 4,307.32
  4. Step 4: Simplify right side
    7,843.96x = 46,625,877.54
  5. Step 5: Solve for x
    x = 46,625,877.54/7,843.96
  6. Step 6: Final answer
    x = 5,944.18

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.